Axiomatic nonextensive statistics at NICA energies

Abstract

We discuss the possibility of implementing axiomatic nonextensive statistics, where it is conjectured that the phase-space volume determines the (non)extensive entropy, on the particle production at NICA energies. Both Boltzmann-Gibbs and Tsallis statistics are very special cases of this generic (non)extensivity. We conclude that the lattice thermodynamics is {\it ab initio} extensive and additive and thus the nonextensive approaches including Tsallis statistics categorically are not matching with them, while the particle production, for instance the particle ratios at various center-of-mass energies, is likely a nonextensive process but certainly not of Tsallis type. The resulting freezeout parameters, the temperature and the chemical potentials, are approximately compatible with the ones deduced from Boltzmann-Gibbs statistics.

arXiv comment6 pages, 2 figures, accepted for publication in EPJA Topical Issue "NICA White Paper" (17th Feb. 2016)

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• Dependence of temperatures and kinetic freeze-out volume on centrality in Au-Au and Pb-Pb collisions at high energy
• Extensive/nonextensive statistics for $p_T$ distributions of various charged particles produced in p+p and A+A collisions in a wide range of energies
• Transverse Momentum Spectra of Pions at LHC Energies
• Transverse momentum spectra of strange hadrons within extensive and nonextensive statistics
• An NJL model analysis of a magnetised nonextensive QCD medium
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• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
• An appropriate statistical approach for nonequilibrium particle production